1165040768 has 16 divisors (see below), whose sum is σ = 2320979910. Its totient is φ = 582520320.

The previous prime is 1165040759. The next prime is 1165040777. The reversal of 1165040768 is 8670405611.

It is an interprime number because it is at equal distance from previous prime (1165040759) and next prime (1165040777).

It can be written as a sum of positive squares in only one way, i.e., 611473984 + 553566784 = 24728^2 + 23528^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1165040768² = 2714639982204059648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550813 + ... + 4551068.

Almost surely, 2^1165040768 is an apocalyptic number.

It is an amenable number.

1165040768 is a deficient number, since it is larger than the sum of its proper divisors (1155939142).

1165040768 is an frugal number, since it uses more digits than its factorization.

1165040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101895 (or 9101883 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1165040768 is about 34132.6935356705. The cubic root of 1165040768 is about 1052.2373360339.

The spelling of 1165040768 in words is "one billion, one hundred sixty-five million, forty thousand, seven hundred sixty-eight".